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Magazine Problem 37
Write each equation in slope-intercept form and identify the slope and y-intercept of the line. $$y-3=2(x-4)$$
Problem 37
Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$i^{98}$$
Problem 38
Write each equation in slope-intercept form and identify the slope and y-intercept of the line. $$y+5=-3(x-(-1))$$
Problem 38
A buyer paid 2.835 million pounds, including a buyer's premium, for a Salvador Dali painting at a Sotheby's auction. If Sotheby's adds a \(5 \%\) buyer's premium to the winning bid, then what was the winning bid?
Problem 38
Solve each equation involving rational expressions. Identify each equation as an identity, an inconsistent equation, or a conditional equation. $$\frac{1}{x}+\frac{1}{x-3}=\frac{9}{x^{2}-3 x}$$
Problem 38
Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$i^{19}$$
Problem 38
Determine the center and radius of each circle and sketch the graph. $$x^{2}=9-(y-3)^{2}$$
Problem 39
Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$i^{-1}$$
Problem 39
Solve each equation involving rational expressions. Identify each equation as an identity, an inconsistent equation, or a conditional equation. $$\frac{1}{x}-\frac{1}{3 x}=\frac{1}{2 x}+\frac{1}{6 x}$$
Problem 39
Tara paid one-half of her game-show winnings to the government for taxes. She invested one-third of her winnings in Jeff's copy shop at \(14 \%\) interest and one-sixth of her winnings in Kaiser's German Bakery at \(12 \%\) interest. If she earned a total of 4000 dollars on the investments in one year, then how much did she win on the game show?
